The common anti-body test like the PCR test is not reliable.
Pcr detects targets that are dead, non infectious, alive, infectious, and he who defines the targets defines the detection. After decades in the lab I also must say gen 1 antibody tests are unreliable. In the old days we did serial antibody tests to see if you were acute or convalescent. Convalescent equals decline to non detectable levels of particular antibodies.
I would say the antibody test plus your total would tell you if the target was wrong. Having said all of that... be careful what you allow in your medical record. It can and will be used against you. I would never have a pcr test of any kind.